Question: A polyatomic ideal gas has 24 vibrational modes. What is the value of $\gamma$ ?
Correct Option: 1
Solution:
Since each vibrational mode has 2 degrees of freedom hence total vibrational degrees of freedom $=48$
$f=3+3+48=54$
$\gamma=1+\frac{2}{f}=\frac{28}{27}=1.03$